Some legal scholars question whether senators have the authority to reject Burris because Blagojevich, who appointed him, is accused by federal prosecutors of trying to sell the appointment to the highest bidder.
The Constitution gives senators the right to be the "judge of the elections, returns and qualifications of its own members."
Despite the potential troubles, Burris said his commitment to the people of Illinois and his experience made him the ideal choice for the state.
"With all of the crises that we have in this state and in this nation ... [Illinois] need[s] to have a full complement of representation, and that's what I'm seeking to do," he said.